Graph the solution of the inequality on a number line. 3(x – 2) – (1 – x) > 2x – 7

Answer:

a) 3m + 4 = 6m is false.

Step-by-step explanation:

A) 3m + 4 = 6m

→ 3(6) + 4 = 6(5)

→ 18 + 4 = 30

→ [ 22 ≠ 30 ]

So, the equation is false.

B) -5(t - 7) = 10

→ -5(5 - 7) = 10

→ -5 × -2 = 10

→ [ 10 = 10 ]

So, the equation is true.

C) 17 = 4x - 3

→ 17 = 4(5) - 3

→ 17 = 20 - 3

→ [ 17 = 17 ]

So, the equation is true.

D) t + 9 = 14

→ 5 + 9 = 14

→ [ 14 = 14 ]

So, the equation is true.

The monthly cost C expressed in terms of minutes of call is: C=19.5+0.16x

The monthly cost if you make 367 minutes of call is $78.22

How the monthly cost modeled?

The monthly cost is modeled using the straight-line equation which comprises of the monthly access fee, which is the fixed charge and the variable charge per minute of $0.16

C=19.5+0.16x

x is the number of minutes of call time

monthly cost when x is 367 minutes

monthly cost=19.5+(0.16*367)

monthly cost=19.5+58.72

monthly cost=$78.22

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Answer:

I don't understand what you're trying to ask?

Step-by-step explanation:

Answer:

x10 gallons

Step-by-step explanation:

you said it

Answer:

4 cm

Step-by-step explanation:

14 - 10 = 4

4cm

Step-by-step explanation:

10-14=4 hope it helps

Answer:

6n - 5

Step-by-step explanation:

We find the jump between every 2 terms :

7 - 1 = 6

13 - 7 = 6

19 - 13 = 6

Now we know this will be the co-efficient of n and the 0th term will be added to the term :

1 - 6 = -5

So our final answer will be 6n + (- 5 ) = 6n - 5

Hope this helped and have a good day

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Answer:

[tex] \frac{9}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \times \frac{9}{15} [/tex]

The denominator 15 will be divided by the numerator 3 giving :

[tex] \frac{1}{4} \times \frac{9}{5} \\ = \frac{1 \times 9}{4 \times 5} [/tex]

Final answer:

[tex] \frac{9}{20} \: or \: 0.45[/tex]

Answer:

Scale factor is a ratio between an object and a new object, which is said to be the same object but in a new size or form.

Answer:

He is wrong.

Step-by-step explanation:

Usually a bracelet has at least 5 beads, so with 25 beads the maximum is 5 bracelet.

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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Answer:

B. x=5±√3

Step-by-step explanation:

Let's solve your equation step-by-step.

(x−5)²=3

Step 1: Simplify both sides of the equation.

x²−10x+25=3

Step 2: Subtract 3 from both sides.

x²−10x+25−3=3−3

x²−10x+22=0

For this equation: a=1, b=-10, c=22

1x²+−10x+22=0

Step 3: Use quadratic formula with a=1, b=-10, c=22.

x=−b±√b²−4ac/2a

x=−(−10)±√(−10)²−4(1)(22)/2(1)

x=10±√12/2

x=5+√3 or x=5−√3

The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial's degree is the highest exponent of a variable in a polynomial equation.

Given the polynomial 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The sum of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) + (-8x⁵y + 2x³y⁴ + xy³) = -5x⁵y - 6xy³

The difference of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) - (-8x⁵y + 2x³y⁴ + xy³) = 11x⁵y - 4x³y⁴ - 8xy³

The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

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Answer:

  11

Step-by-step explanation:

Given two expressions involving the same unknown number, you want to find the number.

  3(x +4) . . . . three times the sum of a number and 4

  6x -21 . . . . 21 less than the number times 6

These two expressions have the same value, so we can write the equation ...

  3(x +4) = 6x -21

Eliminating parentheses, we have ...

  3x +12 = 6x -21

  33 = 3x . . . . . . . . add 21-3x

  11 = x . . . . . . . . . divide by 3

The number is 11.

One example can be:

"Amount of sugar that you put in your coffee and the calories of that coffee."

Where:

Any two quantities that are related in any way are related variables.

Some examples are:

etc...

The independent variable is the one that we can control, and the dependent variable is the one that changes in response to the independent one.

In the last example, the independent variable is the amount of sugar that you put in your coffee because you decide how many spoons you want.

And the dependent variable is the amount of calories in that coffee, that will depend on how much sugar you put there.

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Answer:

just plot it nicely

Step-by-step explanation:

hope this help

Answer:

3.89

Step-by-step explanation:

Answer:

x + 2x = 1161

3x = 1161

x = 1161/3 = 387

2x = 2(387) = 774

cost of coffee table: $387

cost of couch: $774

Step-by-step explanation:

you factor the problem,

your answer:

-1x3xmxmxnxn

We have been provided with this exponential equation y=   13√x + 13√[tex]x^{7}[/tex]

The product rule for solving the exponential powers is [tex]x^{n}[/tex] × [tex]x^{m}[/tex]= [tex]x^{n+m}[/tex]

, which means if the base is same and the variables are multiplied then the powers of the bases get added.

By using the product rule in the given exponential problem, it can be written as:

y = 13 √x ×√[tex]x^{7}[/tex]

y =13 √[tex]x^{1+7}[/tex]

y =13 √[tex]x^{8}[/tex]

Roots means the power of the base is half

y =13 [tex]x^{4}[/tex]  

Correct question is Use the product rule to simplify the following expression

y= 13√x + 13√[tex]x^{7}[/tex]

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The code is CSHDG.

when you break a number down into smaller numbers that, multiplied together, give you that original number.

Given:

G: x² +2x -8 / 2x³ -24x² +64x

=(x+10)(x-8)/ 2x(x-4)(x-8)

=x+ 10/ 2x(x-4)

D: 6x³ + 42x²/2x² + 26x +84

=6x²(x+7)/2(x+7)(x+6)

=3x²/(x+6)

C: x³ -x²-42x/2x² -20x + 42

=x(x-7)(x+6)/(x-3)(x-7)

x(x+6)/(x-3)

S:2x² -10x +48 /8x+ 64

=2(x+8)(x-3)/8(x+8)

H: 3x² -39x + 90/ x²-3x-90

=3 (x-3)(x-10)/(x+7)(x-10)

=3(x-3)/(x+7)

Hence, the matching code is CSHDG.

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The complete question is attached below.

Answer: The points are

(-1,2)

(0,1)

(1,2)

The graph is below

=========================================================

Explanation:

The idea is to replace x with the values mentioned (one at a time) and find the paired y value

For example, if x = -1, then...

y = x² + 1

y = (-1)² + 1

y = 1 + 1

y = 2

So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)

I used GeoGebra to make the graph shown below.

Answer:40 carrots

Step-by-step explanation:

2x8=16 and there's 16 so there for  5x8=40

hope this helps :)

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

From the given:

$18 ——→ 1 home

$90 ——→ x home

Cross multiply the above and make x the subject of formula.

[tex]18x = 90[/tex]

Now, divide both sides by 18 to find the value of x.

[tex] \frac{18x}{18} = \frac{90}{18} [/tex]

Therefore:

Tim made $90 from cleaning 5 homes.

The possible row arrangements for the football cheerleaders are (4×4) or (8×2).

For the given expression.

The total of football cheerleaders = 16.

Each row consists of same number of cheerleaders.

For, this find the factors of 16;

16 = 2×2×2×2

The possible combinations for getting 16 is;

either (4×4) and (8×2).

This can be written as;

There are four rows such that each row contains 4 cheerleaders;

4×4 = 16

Or, they could be arranged as 2 rows with 8 cheerleaders or 8 rows with 2 cheerleaders in each, both are correct.

This can be written as two rows of 8; 8×2 = 16

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The scale of a map is 1:500 000. The actual area of the lake in km is 3x10¹² km².

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult.

• If 1 centimeter on a map corresponds to 500 000 km on the earth, then 1 cm2 would be equivalent to 1 cm² = (500000km) 2

=25×10¹⁰ km²

• The lake's exact area may now be determined by multiplying 12 cm² by 25 × 10¹⁰ km² (3 × 10¹² km²)

As a result, the distance between the towns is 0.000344 cm on the map, while the lake's real area is 3x10¹² km².

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Simplify

2

g

−

(

8

−

g

)

.

Tap for more steps...

3

g

−

8

=

7

g

−

10

Move all terms containing

g

to the left side of the equation.

Tap for more steps...

−

4

g

−

8

=

−

10

Move all terms not containing

g

to the right side of the equation.

Tap for more steps...

−

4

g

=

−

2

Divide each term in

−

4

g

=

−

2

by

−

4

and simplify.

Tap for more steps...

g

=

1

2

The result can be shown in multiple forms.

Exact Form:

g

=

1

2

Decimal Form:

g

=

0.5

[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ [/tex]

Take the reciprocal of the inside to get rid of the negative exponent.

note: reciprocal=flip it over

[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ [/tex]

Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.

note: d=d^1

[tex] \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ [/tex]

[tex]( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ [/tex]

[tex]note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } [/tex]

[tex]( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ [/tex]